Multitype et applications holomorphes propres.
Nicht endlich erzeugte Primideale in Steinschen Algebren.
Normal families of proper holomorphic correspondences.
On Deformations of Kähler Spaces. I.
On invariant domains in certain complex homogeneous spaces
Given a compact connected Lie group . For a relatively compact -invariant domain in a Stein -homogeneous space, we prove that the automorphism group of is compact and if is semisimple, a proper holomorphic self mapping of is biholomorphic.
On proper discs in complex manifolds
Let be a complex manifold of dimension at least which has an exhaustion function whose Levi form has at each point at least strictly positive eigenvalues. We construct proper holomorphic discs in through any given point and in any given direction.
On the automorphisms of the spectral unit ball
Let Ω be the spectral unit ball of Mₙ(ℂ), that is, the set of n × n matrices with spectral radius less than 1. We are interested in classifying the automorphisms of Ω. We know that it is enough to consider the normalized automorphisms of Ω, that is, the automorphisms F satisfying F(0) = 0 and F'(0) = I, where I is the identity map on Mₙ(ℂ). The known normalized automorphisms are conjugations. Is every normalized automorphism a conjugation? We show that locally, in a neighborhood of a matrix with...
On the boundary regularity of proper mappings
On the continuous extension of holomorphic correspondences
On the growth of proper polynomial mappings
Picard-Borel-Eigenschaft und Anwendungen.
Pluri-canonical divisors on Kähler manifolds.
Precise regularity up to the boundary of proper holomorphic mappings
Proper holomorphic liftings and new formulas for the Bergman and Szegő kernels
We consider a large class of convex circular domains in which contains the oval domains and minimal balls. We compute their Bergman and Szegő kernels. Our approach relies on the analysis of some proper holomorphic liftings of our domains to some suitable manifolds.
Proper holomorphic mappings.
Proper holomorphic mappings between bounded complete Reinhardt domains in C2.
Proper Holomorphic Mappings Between Real-Analytic Pseudoconvex Domains in Cn.
Proper holomorphic mappings between Reinhards domains and pseudoellipsoids
Proper holomorphic mappings between rigid polynomial domains in Cn+1.
We describe the branch locus of proper holomorphic mappings between rigid polynomial domains in Cn+1. It appears, in particular, that it is controlled only by the first domain. As an application, we prove that proper holomorphic self-mappings between such domains are biholomorphic.
Proper holomorphic mappings from strongly pseudoconvex domains in C... to the unit polydisc in C...